2026-07-20T05:23:43Z https://drops.dagstuhl.de/oai

oai:drops-oai.dagstuhl.de:333 2024-03-06T11:06:27Z ddc:004 open_access

Belief merging, judgment aggregation and some links with social choice theory Eckert, Daniel Pigozzi, Gabriella Judgment aggregation belief merging preference aggregation social choice theory In this paper we explore the relation between three areas: judgment aggregation, belief merging and social choice theory. Judgment aggregation studies how to aggregate individual judgments on logically interconnected propositions into a collective decision on the same propositions. When majority voting is applied to some propositions (the premises) it may however give a different outcome than majority voting applied to another set of propositions (the conclusion). Starting from this so-called doctrinal paradox, the paper surveys the literature on judgment aggregation (and its relation to preference aggregation), and shows that the application of a well known belief merging operator can dissolve the paradox. Finally, the use of distances is shown to establish a link between belief merging and preference aggregation in social choice theory. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Daniel Eckert and Gabriella Pigozzi 2005 Is Part Of Dagstuhl Seminar Proceedings, Volume 5321, Belief Change in Rational Agents: Perspectives from Artificial Intelligence, Philosophy, and Economics (2005) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/DagSemProc.05321.8 urn:nbn:de:0030-drops-3330 https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.05321.8 eng https://creativecommons.org/licenses/by/4.0/legalcode